In this paper an application of the additive multilevel iteration method to parallel solving of large-scale linear elasticity problems is considered. The results are derived in the framework of the hierarchical basis finite element discretization defined on a tensor product xy โ Tz of one-dimension
A parallel linear system solver for circuit simulation problems
โ Scribed by C. W. Bomhof; H. A. van der Vorst
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 250 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1070-5325
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โฆ Synopsis
This paper presents a parallel mixed direct/iterative method for solving linear systems Ax = b arising from circuit simulation. The systems are solved by a block LU factorization with an iterative method for the Schur complement. The Schur complement is a small and rather dense matrix. Direct LU decomposition of the Schur complement takes too much time in order to achieve reasonable speedup results. Our iterative method for the Schur complement is often much faster than the direct LU approach. Moreover, the iterative method is better parallelizable. This results in a fast sequential and well parallelizable method.
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